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Finding the Fourth Proportional to 314.76, 474.90 and 312.33

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Solution

The fourth proportional to 314.76, 474.90 and 312.33 is: 471.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.76 : 474.90 = 312.33 : x
  2. Step 2: Convert to fraction form
    314.76/474.90 = 312.33/x
  3. Step 3: Cross multiply
    314.76x = 474.90 × 312.33
  4. Step 4: Simplify right side
    314.76x = 148,325.52
  5. Step 5: Solve for x
    x = 148,325.52/314.76
  6. Step 6: Final answer
    x = 471.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.